A line L has intercepts ‘a’ and ‘b’ on the coordinate axes. When the axes are rotated through a give….

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A line L has intercepts ‘a’ and ‘b’ on the coordinate axes. When the axes are rotated through a given angle, keeping the origin fixed, the same line has intercepts ‘p’ and ‘q’. Which of the following equations is true?

Options :-

1. a² + b² = p² + q²
2. 
3. a² + p² = b² + q²
4. 

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